Additional Algo $5-7$ Flow$-$Dependent Processing Times

A sandwich shop has three types of customers $($sandwich$-$only, soup$-$only, and combo$).$ The shop has three workstations, each staffed by a single worker $($sandwich$,$ soup, and checkout$).7$ sandwich$-$only customers arrive each hour and spend $6$ minutes at the sandwich workstation and $6$ minutes at the checkout but do not visit the soup station. $8$ soup$-$only customers arrive each hour spend $7$ minutes at the soup station and $5$ minutes at the checkout but do not visit the sandwich station. $4$ combo customers arrive each hour and spend $5$ minutes at the sandwich station, $6$ minutes at the soup station and $7$ minutes at the checkout.

What is the flow rate of soup$-$only type customers?

Note: Round your answer to $1$ decimal place.

Answer is complete but not entirely correct.

Flow rate

$5\mathrm{.}0ox$

customers per hour

$$

Additional Algo $5-13$ Rework

A cellphone repair shop consists of three processes. Step $1$ requires $4$ minutes per unit, step $2$ requires $6$ minutes per unit, and step $3$ requires $7$ minutes per unit. $20\%$ of units that complete the third step require rework, which means those units must start the process over at step $2($processing times are the same for units being reworked$)$ and rework is always successful. Demand at the shop is $0\mathrm{.}4$ units per minute.

What is the capacity of the shop $($in units per minute$)?$

Note: Round your answer to $3$ decimal places.

Answer is complete but not entirely correct.

Capacity in units per minute

$0\mathrm{.}023$